What is the Greatest Common Factor of 98397 and 98410?

Greatest common factor (GCF) of 98397 and 98410 is 13.

GCF(98397,98410) = 13

We will now calculate the prime factors of 98397 and 98410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98397 and 98410.

How to find the GCF of 98397 and 98410?

We will first find the prime factorization of 98397 and 98410. After we will calculate the factors of 98397 and 98410 and find the biggest common factor number .

Step-1: Prime Factorization of 98397

Prime factors of 98397 are 3, 13, 29. Prime factorization of 98397 in exponential form is:

98397 = 3² × 13¹ × 29²

Step-2: Prime Factorization of 98410

Prime factors of 98410 are 2, 5, 13, 757. Prime factorization of 98410 in exponential form is:

98410 = 2¹ × 5¹ × 13¹ × 757¹

Step-3: Factors of 98397

List of positive integer factors of 98397 that divides 98397 without a remainder.

1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 841, 1131, 2523, 3393, 7569, 10933, 32799

Step-4: Factors of 98410

List of positive integer factors of 98410 that divides 98397 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 757, 1514, 3785, 7570, 9841, 19682, 49205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98397 and 98410. The biggest common factor number is the GCF number.
So the greatest common factor 98397 and 98410 is 13.

Also check out the Least Common Multiple of 98397 and 98410